Physics Homework Help?

Question

A 49 g ice cube at its melting point is dropped into an insulated container of liquid nitrogen. Assume for simplicity that the specific heat of ice is a constant and is equal to 2100 J/kg⋅C∘.

How much nitrogen evaporates if it is at its boiling point of 77 K and has a latent heat of vaporization of 200 kJ/kg?

Answer 1

The mass of ice cube is 49 g.

Specific heat of ice cube is .

The boiling point of nitrogen is

Latent heat of vaporization of nitrogen is .

Total amount of heat lost by the ice cube is equal to the amount of heat gained by the liquid nitrogen.

Amount of the nitrogen evaporated is 100 g.